Approved I 130 for a wife of LPR; What's next ? Follow up..

First, you will be able to file I-485 for her after you are a citizen as then she will be an immediate relative (no wait for a priority date) Since she is in proceedings on the asylum, you may want to ask for a continuance at the master calendar to give you time to naturalize. Have there been been previous continuances? You should certainly get one as a matter of normal procedure, even just to get an attorney.

If her asylum case is strong, she can still proceed on that but she will then have to wait one year after her grant of asylum to file for adjustment. I dol not understand why she filed I-485 as an asylum seeker.
To summarize
1, file for your natz as soon as eligible
2. Ask for continuance on master calendar and show them receipt for your N-400, copy for judge and copy for government lawyer.
3. Upon your natz, file I-485 before the judge, based on approved I-130 not with CIS.

If your natz is problematic, she must proceed with the asylum case.